// Numbas version: finer_feedback_settings
{"name": "AC Circuits Review", "metadata": {"description": "<p>This exam assesses AC Circuit Theory.</p>", "licence": "All rights reserved"}, "duration": 0, "percentPass": "100", "showQuestionGroupNames": false, "shuffleQuestionGroups": false, "showstudentname": false, "question_groups": [{"name": "Group", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": ["", "", "", "", "", ""], "variable_overrides": [[], [], [], [], [], []], "questions": [{"name": "Series RL Circuit Current", "extensions": [], "custom_part_types": [], "resources": [["question-resources/circuit.webp", "/srv/numbas/media/question-resources/circuit.webp"], ["question-resources/circuit.png", "/srv/numbas/media/question-resources/circuit.png"], ["question-resources/Series.png", "/srv/numbas/media/question-resources/Series.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Jane Courtney", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2154/"}], "tags": [], "metadata": {"description": "<p>Finding the current in a simple series RL circuit.</p>", "licence": "All rights reserved"}, "statement": "<p>Write your answer in the gap shown:</p>", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"f": {"name": "f", "group": "Ungrouped variables", "definition": "random(50 .. 60#10)", "description": "", "templateType": "randrange", "can_override": false}, "V": {"name": "V", "group": "Ungrouped variables", "definition": "random(50 .. 500#10)", "description": "", "templateType": "randrange", "can_override": false}, "R": {"name": "R", "group": "Ungrouped variables", "definition": "random(10 .. 100#10)", "description": "", "templateType": "randrange", "can_override": false}, "L": {"name": "L", "group": "Ungrouped variables", "definition": "random(100 .. 500#50)", "description": "", "templateType": "randrange", "can_override": false}, "A": {"name": "A", "group": "Ungrouped variables", "definition": "(V / sqrt(R^2 + (2*pi*f*L/1000)^2))", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["V", "R", "L", "f", "A"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": true, "customName": "Series Current", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>The supply across the terminals of this circuit is {V} V, {f} Hz.</p>\n<p>An ammeter is connected to the supply.</p>\n<p><img src=\"resources/question-resources/Series.png\"/></p>\n<p>The resistance, R, is&nbsp;{R} $\\Omega$ and the inductance,&nbsp;L is&nbsp;{L} mH.</p>\n<p>Find the reading on the ammeter:&nbsp; &nbsp;</p>\n<p>I&nbsp; =&nbsp;[[0]]&nbsp;A</p>", "stepsPenalty": 0, "steps": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<ul>\n<li>Use Impedances and Complex Numbers.</li>\n<li>Use Ohm's Law.</li>\n<li>Meters read Magnitude.</li>\n</ul>"}], "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "Series Current", "marks": "5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "A * 0.99", "maxValue": "A * 1.01", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question"}, {"name": "Parallel RL Circuit Current", "extensions": [], "custom_part_types": [], "resources": [["question-resources/circuit.webp", "/srv/numbas/media/question-resources/circuit.webp"], ["question-resources/circuit.png", "/srv/numbas/media/question-resources/circuit.png"], ["question-resources/Series.png", "/srv/numbas/media/question-resources/Series.png"], ["question-resources/parallel.png", "/srv/numbas/media/question-resources/parallel.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Jane Courtney", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2154/"}], "tags": [], "metadata": {"description": "<p>Finding the current in a simple&nbsp;parallel RL circuit.</p>", "licence": "All rights reserved"}, "statement": "<p>Write your answer in the gap shown:</p>", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"V": {"name": "V", "group": "Ungrouped variables", "definition": "random(100 .. 500#10)", "description": "", "templateType": "randrange", "can_override": false}, "R": {"name": "R", "group": "Ungrouped variables", "definition": "random(10 .. 100#10)", "description": "", "templateType": "randrange", "can_override": false}, "f": {"name": "f", "group": "Ungrouped variables", "definition": "random(50 .. 60#10)", "description": "", "templateType": "randrange", "can_override": false}, "L": {"name": "L", "group": "Ungrouped variables", "definition": "random(100 .. 500#50)", "description": "", "templateType": "randrange", "can_override": false}, "A": {"name": "A", "group": "Ungrouped variables", "definition": "sqrt((V / R)^2 + (V / (2*pi*f*L/1000))^2)", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["V", "R", "L", "f", "A"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": true, "customName": "Parallel Current", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>The supply across the terminals of this circuit is {V} V, {f} Hz.</p>\n<p>An ammeter is connected to the supply.</p>\n<p><img src=\"resources/question-resources/parallel.png\"/></p>\n<p>The resistance, R, is&nbsp;{R} $\\Omega$ and the inductance,&nbsp;L is&nbsp;{L} mH.</p>\n<p>Find the reading on the ammeter: &nbsp;&nbsp;&nbsp;</p>\n<p>I = [[0]]&nbsp; A</p>", "stepsPenalty": 0, "steps": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<ul>\n<li>Use Impedances and Complex Numbers.</li>\n<li>Use Ohm's Law on each branch.</li>\n<li>Use Kirchhoff's Current Law.</li>\n<li>Meters read Magnitude.</li>\n</ul>"}], "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "Parallel Current", "marks": "5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "A * 0.99", "maxValue": "A * 1.01", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question"}, {"name": "Parallel RL Circuit Inductive Current", "extensions": [], "custom_part_types": [], "resources": [["question-resources/circuit.webp", "/srv/numbas/media/question-resources/circuit.webp"], ["question-resources/circuit.png", "/srv/numbas/media/question-resources/circuit.png"], ["question-resources/Series.png", "/srv/numbas/media/question-resources/Series.png"], ["question-resources/parallel.png", "/srv/numbas/media/question-resources/parallel.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Jane Courtney", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2154/"}], "tags": [], "metadata": {"description": "<p>Finding the inductive current in a simple parallel RL circuit.</p>", "licence": "All rights reserved"}, "statement": "<p>Write your answer in the gap shown:</p>", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"G": {"name": "G", "group": "Ungrouped variables", "definition": "pf*Y", "description": "", "templateType": "anything", "can_override": false}, "A": {"name": "A", "group": "Ungrouped variables", "definition": "random(1 .. 10#1)", "description": "", "templateType": "randrange", "can_override": false}, "V": {"name": "V", "group": "Ungrouped variables", "definition": "random(50 .. 500#10)", "description": "", "templateType": "randrange", "can_override": false}, "f": {"name": "f", "group": "Ungrouped variables", "definition": "random(50 .. 60#10)", "description": "", "templateType": "randrange", "can_override": false}, "IL": {"name": "IL", "group": "Ungrouped variables", "definition": "sqrt(A^2 - (V/R)^2) ", "description": "", "templateType": "anything", "can_override": false}, "pf": {"name": "pf", "group": "Ungrouped variables", "definition": "random(0.1 .. 0.9#0.1)", "description": "", "templateType": "randrange", "can_override": false}, "Y": {"name": "Y", "group": "Ungrouped variables", "definition": "A/V", "description": "", "templateType": "anything", "can_override": false}, "R": {"name": "R", "group": "Ungrouped variables", "definition": "round(1/G)", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["V", "f", "A", "Y", "pf", "G", "R", "IL"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": true, "customName": "Inductive Current", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>The supply across the terminals of this circuit is {V} V, {f} Hz.</p>\n<p>An ammeter is connected to the supply.</p>\n<p><img src=\"resources/question-resources/parallel.png\"/></p>\n<p>The resistance, R&nbsp;is {R} $\\Omega$.</p>\n<p>The ammeter reading the supply current shows {A} A.</p>\n<p>Find the magnitude of the current in the inductance:&nbsp;&nbsp;&nbsp;</p>\n<p>$I_L$&nbsp; = &nbsp;[[0]]&nbsp; A&nbsp;</p>\n<p></p>", "stepsPenalty": 0, "steps": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<ul>\n<li>Use Impedances and Complex Numbers.</li>\n<li>Use Ohm's Law on each branch.</li>\n<li>Use Kirchhoff's Current Law.</li>\n<li>Meters read Magnitude.</li>\n</ul>"}], "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "Inductive Current", "marks": "5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "IL * 0.99", "maxValue": "IL * 1.01", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question"}, {"name": "Series RL Circuit Inductance", "extensions": [], "custom_part_types": [], "resources": [["question-resources/circuit.webp", "/srv/numbas/media/question-resources/circuit.webp"], ["question-resources/circuit.png", "/srv/numbas/media/question-resources/circuit.png"], ["question-resources/Series.png", "/srv/numbas/media/question-resources/Series.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Jane Courtney", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2154/"}], "tags": [], "metadata": {"description": "<p>Finding the inductance in a simple series RL circuit.</p>", "licence": "All rights reserved"}, "statement": "<p>Write your answer in the gap shown:</p>", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"R": {"name": "R", "group": "Ungrouped variables", "definition": "round(pf*Z)", "description": "", "templateType": "anything", "can_override": false}, "A": {"name": "A", "group": "Ungrouped variables", "definition": "random(1 .. 10#1)", "description": "", "templateType": "randrange", "can_override": false}, "V": {"name": "V", "group": "Ungrouped variables", "definition": "random(100 .. 500#10)", "description": "", "templateType": "randrange", "can_override": false}, "f": {"name": "f", "group": "Ungrouped variables", "definition": "random(50 .. 60#10)", "description": "", "templateType": "randrange", "can_override": false}, "L": {"name": "L", "group": "Ungrouped variables", "definition": "1000*sqrt(Z^2 - R^2)/(2*pi*f)", "description": "", "templateType": "anything", "can_override": false}, "Z": {"name": "Z", "group": "Ungrouped variables", "definition": "V/A", "description": "", "templateType": "anything", "can_override": false}, "pf": {"name": "pf", "group": "Ungrouped variables", "definition": "random(0.1 .. 0.9#0.1)", "description": "", "templateType": "randrange", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["V", "f", "A", "Z", "pf", "R", "L"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": true, "customName": "Series Inductance", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>The supply across the terminals of this circuit is {V}&nbsp;V, {f}&nbsp;Hz.</p>\n<p>An ammeter is connected to the supply.</p>\n<p><img src=\"resources/question-resources/Series.png\"/></p>\n<p>The resistance, R, is&nbsp;{R} $\\Omega$.</p>\n<p>The ammeter reading the supply current shows {A} A.&nbsp;&nbsp;&nbsp;&nbsp;</p>\n<p>Find the inductance, L, in mH:</p>\n<p>L&nbsp; = &nbsp;[[0]]&nbsp; mH</p>\n<p></p>\n<p></p>", "stepsPenalty": 0, "steps": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<ul>\n<li>Use Impedances and Complex Numbers.</li>\n<li>Use Ohm's Law.</li>\n<li>Meters read Magnitude.</li>\n</ul>"}], "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "Series Inductance", "marks": "5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "L * 0.99", "maxValue": "L * 1.01", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question"}, {"name": "Parallel RL Circuit Resistance", "extensions": [], "custom_part_types": [], "resources": [["question-resources/circuit.webp", "/srv/numbas/media/question-resources/circuit.webp"], ["question-resources/circuit.png", "/srv/numbas/media/question-resources/circuit.png"], ["question-resources/Series.png", "/srv/numbas/media/question-resources/Series.png"], ["question-resources/parallel.png", "/srv/numbas/media/question-resources/parallel.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Jane Courtney", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2154/"}], "tags": [], "metadata": {"description": "<p>Finding the&nbsp;resistance in a simple parallel RL circuit.</p>", "licence": "All rights reserved"}, "statement": "<p>Write your answer in the gap shown:</p>", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"A": {"name": "A", "group": "Ungrouped variables", "definition": "random(1 .. 10#1)", "description": "", "templateType": "randrange", "can_override": false}, "V": {"name": "V", "group": "Ungrouped variables", "definition": "random(100 .. 500#10)", "description": "", "templateType": "randrange", "can_override": false}, "f": {"name": "f", "group": "Ungrouped variables", "definition": "50", "description": "", "templateType": "number", "can_override": false}, "L": {"name": "L", "group": "Ungrouped variables", "definition": "round(1000*XL/(2*pi*f))", "description": "", "templateType": "anything", "can_override": false}, "R": {"name": "R", "group": "Ungrouped variables", "definition": "V/sqrt((A)^2 - (V/(2*pi*f*L/1000))^2)", "description": "", "templateType": "anything", "can_override": false}, "Y": {"name": "Y", "group": "Ungrouped variables", "definition": "A/V", "description": "", "templateType": "anything", "can_override": false}, "pf": {"name": "pf", "group": "Ungrouped variables", "definition": "random(0.1 .. 0.9#0.1)", "description": "", "templateType": "randrange", "can_override": false}, "XL": {"name": "XL", "group": "Ungrouped variables", "definition": "1/(Y*(1-pf))", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["V", "A", "Y", "pf", "XL", "L", "f", "R"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": true, "customName": "Parallel Resistance", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>The supply across the terminals of this circuit is {V}&nbsp; V, {f}&nbsp; Hz.</p>\n<p>An ammeter is connected to the supply.</p>\n<p><img src=\"resources/question-resources/parallel.png\"/></p>\n<p>The inductance, L&nbsp;is {L} mH.</p>\n<p>The ammeter reading the supply current shows {A} A.</p>\n<p>Find the resistance:&nbsp;&nbsp;&nbsp;</p>\n<p>R&nbsp; = &nbsp;[[0]]&nbsp;&nbsp;$\\Omega$</p>\n<p></p>\n<p></p>", "stepsPenalty": 0, "steps": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<ul>\n<li>Use Impedances and Complex Numbers.</li>\n<li>Use Ohm's Law on each branch.</li>\n<li>Use Kirchhoff's Current Law.</li>\n<li>Meters read Magnitude.</li>\n</ul>"}], "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "Parallel Resistance", "marks": "5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "R * 0.99", "maxValue": "R * 1.01", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question"}, {"name": "Series RL Circuit Resistive Voltage", "extensions": [], "custom_part_types": [], "resources": [["question-resources/circuit.webp", "/srv/numbas/media/question-resources/circuit.webp"], ["question-resources/circuit.png", "/srv/numbas/media/question-resources/circuit.png"], ["question-resources/Series.png", "/srv/numbas/media/question-resources/Series.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Jane Courtney", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2154/"}], "tags": [], "metadata": {"description": "<p>Finding the resistive voltage in a simple series RL circuit.</p>", "licence": "All rights reserved"}, "statement": "<p>Write your answer in the gap shown:</p>", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"f": {"name": "f", "group": "Ungrouped variables", "definition": "random(50 .. 60#10)", "description": "", "templateType": "randrange", "can_override": false}, "A": {"name": "A", "group": "Ungrouped variables", "definition": "random(1 .. 10#1)", "description": "", "templateType": "randrange", "can_override": false}, "V": {"name": "V", "group": "Ungrouped variables", "definition": "random(50 .. 500#10)", "description": "", "templateType": "randrange", "can_override": false}, "L": {"name": "L", "group": "Ungrouped variables", "definition": "round(1000*XL/(2*pi*f))", "description": "", "templateType": "anything", "can_override": false}, "VR": {"name": "VR", "group": "Ungrouped variables", "definition": "sqrt(V^2 - VL^2) ", "description": "", "templateType": "anything", "can_override": false}, "Z": {"name": "Z", "group": "Ungrouped variables", "definition": "V/A", "description": "", "templateType": "anything", "can_override": false}, "VL": {"name": "VL", "group": "Ungrouped variables", "definition": "A*XL", "description": "", "templateType": "anything", "can_override": false}, "XL": {"name": "XL", "group": "Ungrouped variables", "definition": "Z*(1-pf)", "description": "", "templateType": "anything", "can_override": false}, "pf": {"name": "pf", "group": "Ungrouped variables", "definition": "random(0.1 .. 0.9#0.1)", "description": "", "templateType": "randrange", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["V", "f", "A", "pf", "Z", "XL", "L", "VL", "VR"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": true, "customName": "Resistive Voltage", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>The supply across the terminals of this circuit is {V}&nbsp; V, {f}&nbsp; Hz.</p>\n<p>An ammeter is connected to the supply.</p>\n<p><img src=\"resources/question-resources/Series.png\"/></p>\n<p>The inductance L is {L} mH.</p>\n<p>The ammeter reading the supply current shows {A} A.&nbsp;&nbsp;&nbsp;&nbsp;</p>\n<p>Find the magnitude of the voltage&nbsp;across the resistance:</p>\n<p>$V_R$&nbsp; = &nbsp;[[0]]&nbsp; V.</p>\n<p></p>\n<p></p>", "stepsPenalty": 0, "steps": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<ul>\n<li>Use Impedances and Complex Numbers.</li>\n<li>Use Ohm's Law.</li>\n<li>Meters read Magnitude.</li>\n</ul>"}], "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "Resistive Voltage", "marks": "5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "VR * 0.99", "maxValue": "VR * 1.01", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question"}]}], "allowPrinting": true, "navigation": {"allowregen": false, "reverse": true, "browse": true, "allowsteps": true, "showfrontpage": true, "showresultspage": "never", "navigatemode": "sequence", "onleave": {"action": "none", "message": ""}, "preventleave": false, "startpassword": ""}, "timing": {"allowPause": false, "timeout": {"action": "none", "message": ""}, "timedwarning": {"action": "none", "message": ""}}, "feedback": {"showactualmark": false, "showtotalmark": false, "showanswerstate": true, "allowrevealanswer": false, "advicethreshold": 0, "intro": "", "end_message": "", "reviewshowscore": false, "reviewshowfeedback": false, "reviewshowexpectedanswer": false, "reviewshowadvice": false, "feedbackmessages": [], "enterreviewmodeimmediately": false, "showexpectedanswerswhen": "never", "showpartfeedbackmessageswhen": "always", "showactualmarkwhen": "never", "showtotalmarkwhen": "never", "showanswerstatewhen": "never", "showadvicewhen": "never"}, "diagnostic": {"knowledge_graph": {"topics": [], "learning_objectives": []}, "script": "diagnosys", "customScript": ""}, "type": "exam", "contributors": [{"name": "Jane Courtney", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2154/"}], "extensions": [], "custom_part_types": [], "resources": [["question-resources/circuit.webp", "/srv/numbas/media/question-resources/circuit.webp"], ["question-resources/circuit.png", "/srv/numbas/media/question-resources/circuit.png"], ["question-resources/Series.png", "/srv/numbas/media/question-resources/Series.png"], ["question-resources/parallel.png", "/srv/numbas/media/question-resources/parallel.png"]]}